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An Algorithm for Coarsening Unstructured Meshes
 Numer. Math
, 1996
"... . We develop and analyze a procedure for creating a hierarchical basis of continuous piecewise linear polynomials on an arbitrary, unstructured, nonuniform triangular mesh. Using these hierarchical basis functions, we are able to define and analyze corresponding iterative methods for solving the lin ..."
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Cited by 51 (5 self)
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for such iterative methods are of order J 2 , where J is the number of hierarchical basis levels. Key words. Finite element, hierarchical basis, multigrid, unstructured mesh. AMS subject classifications. 65F10, 65N20 1. Introduction. Iterative methods using the hierarchical basis decomposition have proved
Parallel Refinement of Unstructured Meshes
, 1999
"... In this paper we describe a parallel #refinement algorithm for unstructured finite element meshes based on the longestedge bisection of triangles and tetrahedrons. This algorithm is implemented in PARED, a system that supports the parallel adaptive solution of PDEs. We discuss the design of such a ..."
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Cited by 8 (1 self)
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edge refinement method. We finally report on the performance of this refinement algorithm on a network of workstations. Keywords: mesh refinement, unstructured meshes, finite element methods, adaptation. 1. Introduction The finite element method (FEM) is a powerful and successful technique for the numerical
Hypersonic Flow Computations On Unstructured Meshes
, 1997
"... A method for computing inviscid hypersonic flow over complex configurations using unstructured meshes is presented. The unstructured grid solver uses and edgebased finitevolume formulation. Fluxes are computed using a fluxvector splitting scheme that is capable of representing constant enthalpy s ..."
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Cited by 5 (2 self)
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A method for computing inviscid hypersonic flow over complex configurations using unstructured meshes is presented. The unstructured grid solver uses and edgebased finitevolume formulation. Fluxes are computed using a fluxvector splitting scheme that is capable of representing constant enthalpy
Repartitioning unstructured adaptive meshes
 in Proceedings of the 14th International Parallel and Distributed Processing Symposium (IPDPS’00), Cancun
, 2000
"... We present a new parallel repartitioning algorithm for adaptive finiteelement meshes that significantly reduces the amount of data that needs to move between processors in order to rebalance a workload after mesh adaptation (refinement or coarsening). These results derive their importance from the ..."
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Cited by 6 (0 self)
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We present a new parallel repartitioning algorithm for adaptive finiteelement meshes that significantly reduces the amount of data that needs to move between processors in order to rebalance a workload after mesh adaptation (refinement or coarsening). These results derive their importance from
Unstructured Mesh Libraries for the AP1000
 PROCEEDINGS OF THE FUJITSU PARALLEL COMPUTING WORKSHOP
, 1996
"... We present the results from the final year of a threeyear collaborative project between Fujitsu Laboratories and Edinburgh Parallel Computing Centre. We have developed and extended a suite of Parallel Utilities Libraries to support distributed unstructured mesh programming on the AP1000. These libr ..."
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Cited by 1 (1 self)
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We present the results from the final year of a threeyear collaborative project between Fujitsu Laboratories and Edinburgh Parallel Computing Centre. We have developed and extended a suite of Parallel Utilities Libraries to support distributed unstructured mesh programming on the AP1000
SIMULATION OF STOCHASTIC REACTIONDIFFUSION PROCESSES ON UNSTRUCTURED MESHES
, 2008
"... Stochastic chemical systems with diffusion are modeled with a reactiondiffusion master equation. On a macroscopic level, the governing equation is a reactiondiffusion equation for the averages of the chemical species. On a mesoscopic level, the master equation for a well stirred chemical system is ..."
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Cited by 24 (5 self)
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is combined with Brownian motion in space to obtain the reactiondiffusion master equation. The space is covered by an unstructured mesh and the diffusion coefficients on the mesoscale are obtained from a finite element discretization of the Laplace operator on the macroscale. The resulting method is a
ON CONVERGENCE ACCELERATION TECHNIQUES FOR UNSTRUCTURED MESHES
, 1998
"... A discussion of convergence acceleration techniques as they relate to computational fluid dynamics problems on unstructured meshes is given. Rather than providing a detailed description of particular methods, the various different building blocks of current solution techniques are discussed and exa ..."
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Cited by 17 (1 self)
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A discussion of convergence acceleration techniques as they relate to computational fluid dynamics problems on unstructured meshes is given. Rather than providing a detailed description of particular methods, the various different building blocks of current solution techniques are discussed
Efficient Parallel Generation of Partitioned, Unstructured Meshes
 ADVANCES IN ENGINEERING SOFTWARE
, 1996
"... In this paper we introduce a method for generating unstructured meshes in parallel which are partitioned in a "good" way. When solving a partial differential equation on a parallel distributed memory machine, the mesh should be decomposed so that the communication requirement of the num ..."
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Cited by 8 (4 self)
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In this paper we introduce a method for generating unstructured meshes in parallel which are partitioned in a "good" way. When solving a partial differential equation on a parallel distributed memory machine, the mesh should be decomposed so that the communication requirement
Toward GPU accelerated topology optimization on unstructured meshes
"... Abstract The present work investigates the feasibility of finite element methods and topology optimization for unstructured meshes in massively parallel computer architectures, more specifically on Graphics Processing Units or GPUs. Challenges in the parallel implementation, like the parallel assem ..."
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Abstract The present work investigates the feasibility of finite element methods and topology optimization for unstructured meshes in massively parallel computer architectures, more specifically on Graphics Processing Units or GPUs. Challenges in the parallel implementation, like the parallel
Results 1  10
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104,320